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Author: James D. Wells Publisher: Springer Science & Business Media ISBN: 3642348920 Category : Science Languages : en Pages : 84
Book Description
This open access book... There is significant interest in the Philosophy of Science community to understand the role that "effective theories" have in the work of forefront science. The ideas of effective theories have been implicit in science for a long time, but have only been articulated well in the last few decades. Since Wilson's renormalization group revolution in the early 1970's, the science community has come to more fully understand its power, and by the mid-1990's it had gained its apotheosis. It is still one of the most powerful concepts in science, which has direct impact in how one thinks about and formulates theories of nature. It is this power that this Brief sets out to emphasize through historical analysis and current examples. This is an open access book.
Author: James D. Wells Publisher: Springer Science & Business Media ISBN: 3642348920 Category : Science Languages : en Pages : 84
Book Description
This open access book... There is significant interest in the Philosophy of Science community to understand the role that "effective theories" have in the work of forefront science. The ideas of effective theories have been implicit in science for a long time, but have only been articulated well in the last few decades. Since Wilson's renormalization group revolution in the early 1970's, the science community has come to more fully understand its power, and by the mid-1990's it had gained its apotheosis. It is still one of the most powerful concepts in science, which has direct impact in how one thinks about and formulates theories of nature. It is this power that this Brief sets out to emphasize through historical analysis and current examples. This is an open access book.
Author: Thomas Mannel Publisher: Springer Science & Business Media ISBN: 9783540219316 Category : Science Languages : en Pages : 192
Book Description
The book constitutes a compact review of the applications of effective field theory methods in flavour physics, with emphasis on heavy quark physics. Some of the relevant applications are discussed to illustrate the method. It covers the full range of theoretical tools related to the application of the effective field theory idea: Starting from the weak interactions as an effective theory derived from the standard model, well-established methods such as heavy quark effective theory, the heavy quark mass expansion and chiral perturbation theory are addressed. Also more recent ideas such as QCD factorization and soft collinear effective theory are outlined. Finally the standard model itself is viewed as an effective theory, allowing a model-independent look at the results of the new physics. The book should be useful for the advanced graduate student as well as for scientists who are interested in the theoretical toolkit used in the context of flavour physics. It is not meant as a complete review of the subject, rather it should be useful as an introduction to the basic ideas.
Author: Antal Jakovác Publisher: Springer ISBN: 3319226207 Category : Science Languages : en Pages : 223
Book Description
Effective models of strong and electroweak interactions are extensively applied in particle physics phenomenology, and in many instances can compete with large-scale numerical simulations of Standard Model physics. These contexts include but are not limited to providing indications for phase transitions and the nature of elementary excitations of strong and electroweak matter. A precondition for obtaining high-precision predictions is the application of some advanced functional techniques to the effective models, where the sensitivity of the results to the accurate choice of the input parameters is under control and the insensitivity to the actual choice of ultraviolet regulators is ensured. The credibility of such attempts ultimately requires a clean renormalization procedure and an error estimation due to a necessary truncation in the resummation procedure. In this concise primer we discuss systematically and in sufficient technical depth the features of a number of approximate methods, as applied to various effective models of chiral symmetry breaking in strong interactions and the BEH-mechanism of symmetry breaking in the electroweak theory. After introducing the basics of the functional integral formulation of quantum field theories and the derivation of different variants of the equations which determine the n-point functions, the text elaborates on the formulation of the optimized perturbation theory and the large-N expansion, as applied to the solution of these underlying equations in vacuum. The optimisation aspects of the 2PI approximation is discussed. Each of them is presented as a specific reorganisation of the weak coupling perturbation theory. The dimensional reduction of high temperature field theories is discussed from the same viewpoint. The renormalization program is described for each approach in detail and particular attention is paid to the appropriate interpretation of the notion of renormalization in the presence of the Landau singularity. Finally, results which emerge from the application of these techniques to the thermodynamics of strong and electroweak interactions are reviewed in detail.
Author: C. P. Burgess Publisher: Cambridge University Press ISBN: 0521195470 Category : Science Languages : en Pages : 665
Book Description
This advanced, accessible textbook on effective field theories uses worked examples to bring this important topic to a wider audience.
Author: Alexey A. Petrov Publisher: World Scientific ISBN: 9814434930 Category : Science Languages : en Pages : 318
Book Description
This book is a broad-based text intended to help the growing student body interested in constructing and applying methods of effective field theory to solve problems in their research. It begins with a review of using symmetries to identify the relevant degrees of freedom in a problem, and then presents a variety of methods that can be used to construct various effective theories. A detailed discussion of canonical applications of effective field theory techniques with increasing complexity is given, including Fermi's weak interaction, heavy-quark effective theory, and soft-collinear effective theory. Applications of these techniques to study physics beyond the standard model, dark matter, and quantum and classical gravity are explored. Although most examples come from questions in high-energy physics, many of the methods can also be applied in condensed-matter settings. Appendices include various factoids from group theory and other topics that are used throughout the text, in an attempt to make the book self-contained.
Author: Kevin Costello Publisher: American Mathematical Soc. ISBN: 0821852884 Category : Quantum field theory Languages : en Pages : 264
Book Description
Quantum field theory has had a profound influence on mathematics, and on geometry in particular. However, the notorious difficulties of renormalization have made quantum field theory very inaccessible for mathematicians. This provides complete mathematical foundations for the theory of perturbative quantum field theory, based on Wilson's ideas of low-energy effective field theory and on the Batalin-Vilkovisky formalism.
Author: Antonino Zichichi Publisher: World Scientific ISBN: 9814546054 Category : Languages : en Pages : 606
Book Description
This book is a unique report on the frontiers of subnuclear physics presented by world specialists in a clear, rigorous and simple way.The problem of the physical vacuum is presented in the opening lecture by T D Lee and the effective string-theoretical approach to cosmological vacua by G Veneziano. Effective theoretical approaches to light and heavy quark physics are presented by H Leutwyler and M Neubert. V N Gribov discusses the quark confinement and N Seiberg the problem of finding the effective actions in supersymmetric theories. A detailed analysis confronting electroweak theory with the high precision experimental data is presented by D Schildknecht. The great specialist in membrane theory, M Duff, presents the latest results of the 11-dimensional approach, while the finite temperature effective theories are discussed by M Shaposhnikov. The unification and the physics beyond the standard model constitute the content of the lectures by R Barbieri and D Nanopoulos. The experimental data from LEP and Hera are presented by M Pohl and G Wolf. N F Ramsey, the world specialist in the field, discusses how to explore the universe with atomic clocks. An elusive Z' is the subject of a specialised seminar by P Frampton.This volume contains the reports presented by a selected group of “new talents” on various topics in the field of subnuclear physics.
Author: Matthew D. Schwartz Publisher: Cambridge University Press ISBN: 1107034736 Category : Science Languages : en Pages : 869
Book Description
A modern introduction to quantum field theory for graduates, providing intuitive, physical explanations supported by real-world applications and homework problems.
Author: Timo A. Lähde Publisher: Springer ISBN: 3030141896 Category : Science Languages : en Pages : 396
Book Description
This primer begins with a brief introduction to the main ideas underlying Effective Field Theory (EFT) and describes how nuclear forces are obtained from first principles by introducing a Euclidean space-time lattice for chiral EFT. It subsequently develops the related technical aspects by addressing the two-nucleon problem on the lattice and clarifying how it fixes the numerical values of the low-energy constants of chiral EFT. In turn, the spherical wall method is introduced and used to show how improved lattice actions render higher-order corrections perturbative. The book also presents Monte Carlo algorithms used in actual calculations. In the last part of the book, the Euclidean time projection method is introduced and used to compute the ground-state properties of nuclei up to the mid-mass region. In this context, the construction of appropriate trial wave functions for the Euclidean time projection is discussed, as well as methods for determining the energies of the low-lying excitations and their spatial structure. In addition, the so-called adiabatic Hamiltonian, which allows nuclear reactions to be precisely calculated, is introduced using the example of alpha-alpha scattering. In closing, the book demonstrates how Nuclear Lattice EFT can be extended to studies of unphysical values of the fundamental parameters, using the triple-alpha process as a concrete example with implications for the anthropic view of the Universe. Nuclear Lattice Effective Field Theory offers a concise, self-contained, and introductory text suitable for self-study use by graduate students and newcomers to the field of modern computational techniques for atomic nuclei and nuclear reactions.
Author: James D. Wells
Author: James D. Wells
Author: Thomas Mannel
Author: Antal Jakovác
Author: C. P. Burgess
Author: Alexey A. Petrov
Author: Kevin Costello
Author: Antonino Zichichi
Author: Ulf-G Meißner
Author: Matthew D. Schwartz
Author: Timo A. Lähde